John Giggey's father was also named John Giggey. John Giggey, Sr., was a Loyalist who fought with the British during the Revolutionary War and then emigrated to New Brunswick along with many other Loyalist families in 1783-4.
Here's an interesting thread by someone doing research on John Giggey (also spelled a few other ways in the old records):
http://genforum.genealogy.com/giggey/messages/191.html